Factor 5a^2z-4a^2c+15xz-12xc

$5 a^{2} z - 4 a^{2} c + 15 x z - 12 x c$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 a^{2} z - 4 a^{2} c) + 15 x z - 12 x c$

Factor out the greatest common factor (GCF) from each group.

$a^{2} (5 z - 4 c) + 3 x (5 z - 4 c)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 z - 4 c$ .

$(5 z - 4 c) (a^{2} + 3 x)$